Line Plots — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A line plot shows soil added to pots in cups: 14→5 Xs, 12→4 Xs, 34→6 Xs, 1→3 Xs. What is the total soil used for all 18 pots?
A) 1034 cups
B) 1114 cups
C) 1012 cups
D) 11 cups
Multiply each value by its count: (5 x 14) + (4 x 12) + (6 x 34) + (3 x 1) = 54 + 2 + 184 + 3 = 434 = 1034 cups of soil total.
2. A line plot shows cord lengths in feet: 18→2 Xs, 14→4 Xs, 38→6 Xs, 12→3 Xs. The total cord length is 5 feet. If a student needs 6 feet total, how much more cord is needed?
A) 78 foot
B) 1 foot
C) 118 feet
D) 34 foot
Since the total cord length is 5 feet and the student needs 6 feet, subtracting 6 − 5 = 1 foot tells how much more cord is needed.
3. A line plot shows cheese portions in pounds: 14→3 Xs, 12→7 Xs, 34→4 Xs, 1→2 Xs. How much more total cheese is in the 12-pound portions than the 14-pound portions?
A) 234 pounds
B) 214 pounds
C) 212 pounds
D) 3 pounds
Total cheese in 12-pound portions: 7 x 12 = 312 pounds. Total in 14-pound portions: 3 x 14 = 34 pound. The difference is 312 − 34 = 234 pounds.
4. A line plot shows ink volumes in ounces: 18→4 Xs, 28→6 Xs, 38→3 Xs, 48→5 Xs. What fraction of the 18 cartridges hold 28 ounce or less?
A) 1018
B) 618
C) 418
D) 1218
Cartridges holding 28 ounce or less are at 18 (4 Xs) and 28 (6 Xs), totaling 10 cartridges. As a fraction of the 18 total, that is 1018.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A line plot shows exercise times in hours: 14→5 Xs, 12→8 Xs, 34→4 Xs, 1→3 Xs. Total exercise time for all 20 people (write as a mixed number): 1114 hours.
Multiply each value by its count: (5 x 14) + (8 x 12) + (4 x 34) + (3 x 1) = 54 + 4 + 3 + 3 = 454 = 1114 hours total.
2. Using the exercise data, the total time for people who exercised 34 hour or more is 6 hours.
People who exercised 34 hour or more are at 34 (4 Xs) and 1 (3 Xs). Their total time is (4 x 34) + (3 x 1) = 3 + 3 = 6 hours.
3. A line plot shows glue sticks used in ounces: 18→6 Xs, 14→4 Xs, 38→5 Xs, 12→3 Xs. Total glue from the 38-ounce sticks (write as a mixed number): 178 ounces.
There are 5 glue sticks each measuring 38 ounce. Multiplying 5 x 38 = 158 = 178 ounces gives their combined glue amount.
4. Using the glue data, total glue for ALL sticks combined (write as a mixed number): 518 ounces.
Add each group: (6 x 18) + (4 x 14) + (5 x 38) + (3 x 12) = 68 + 88 + 158 + 128 = 418 = 518 ounces total.
5. A line plot shows string lengths in yards: 14→3 Xs, 12→5 Xs, 34→4 Xs, 1→2 Xs. If each piece of string is cut in half, the new total length of all string pieces is 418 yards.
First find the original total: (3 x 14) + (5 x 12) + (4 x 34) + (2 x 1) = 34 + 52 + 3 + 2 = 814 yards. Cutting every piece in half divides the total by 2: 814 / 2 = 334 / 2 = 338 = 418 yards.